# 快子

## 特徵

### 質量

$E^2 = p^2c^2 + m^2c^4 \;$

$E = \frac{mc^2}{\sqrt{1 - \frac{v^2}{c^2}}}.$

• 對質量的域做簡單的替代會導致對快子具有實際的質量. 定義m = i*z（$i^2 = -1$）然後，我們會得到愛因斯坦的能量動能關係:
$E^2 + z^2c^4 = p^2c^2 \;$

$E = \frac{zc^2}{\sqrt{\frac{v^2}{c^2} -1}}.$

## 對照與參考

1. ^ /ˈtæki.ɒn/，来自希腊语ταχυόνιονtakhyónion），源自ταχύςtakhýs），意為快、迅速
2. ^ Bilaniuk, Olexa-Myron P.; Sudarshan, E. C. George. Particles beyond the Light Barrier. Physics Today. 1969-05, 22 (5): 43–51. doi:10.1063/1.3035574.
3. ^ 3.0 3.1 Bilaniuk, Olexa-Myron P.; Deshpande, Vijay K.; Sudarshan, E. C. George. Meta Relativity. American Journal of Physics. 1962, 30: 718ff. doi:10.1119/1.1941773.
4. ^ 4.0 4.1 4.2 Feinberg, Gerald. Possibility of Faster-Than-Light Particles. Physical Review. 1967, 159: 1089–1105. doi:10.1103/PhysRev.159.1089.
5. ^ 5.0 5.1 5.2 Peskin, Michael E.; and Schroeder, Daniel V. (1995) An Introduction to Quantum Field Theory, Perseus books publishing.
6. ^ G. A. Benford, D. L. Book, and W. A. Newcomb, "The Tachyonic Antitelephone," Physical Review, part D 2 263, DOI: 10.1103, July 15, 1970, pp. 263-265
7. ^ http://rd11.web.cern.ch/RD11/rkb/PH14pp/node26.html
8. ^ Grøn, Øyvind; Sigbjørn Hervik. Einstein's General Theory of Relativity: With Modern Applications in Cosmology. Springer. 2007: 39]. ISBN 978-0387691992.
9. ^ 9.0 9.1 Jarrell, Mark. The Special Theory of Relativity (PDF). 7–11. [2006-10-27].
10. ^ Chase, Scott I. Tachyons. March [3 December 2009].
11. ^ Sen, Ashoke. 快子凝聚處於膜與反膜系統. JHEP. 1998, 08: 012. doi:10.1088/1126-6708/1998/08/012.